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Finding the Third Proportional to 115,948.97 and 254,314.69

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Solution

The third proportional to 115,948.97 and 254,314.69 is: 557,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,948.97 : 254,314.69 = 254,314.69 : x
  2. Step 2: Convert to fraction form
    115,948.97/254,314.69 = 254,314.69/x
  3. Step 3: Cross multiply
    115,948.97x = 254,314.69 × 254,314.69
  4. Step 4: Simplify right side
    115,948.97x = 64,675,960,278.22
  5. Step 5: Solve for x
    x = 64,675,960,278.22/115,948.97
  6. Step 6: Final answer
    x = 557,796.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.